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مقدمه مقاله:

The classical Borel–Weil–Bott theorem provides realizations for the irreducible finite dimensional modules of a semisimple complex Lie group G as cohomology spaces associated to irreducible homogeneous vector bundles on the flag manifolds of G. We address the “functorial” behavior of this construction, i.e. we consider equivariant embeddings of flag manifolds and the resulting pullbacks of cohomology. In this paper, we concentrate on the case of complete flag manifolds and cohomology of line bundles. The study of vector bundles on partial flag manifolds will be carried out in a future work.